Unitary local systems, multiplier ideals, and polynomial periodicity of Hodge numbers

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The space of unitary local systems of rank one on the complement of an arbitrary divisor in a complex projective algebraic variety can be described in terms of parabolic line bundles. We show that multiplier ideals provide natural stratifications of this space. We prove a structure theorem for these stratifications in terms of complex tori and convex rational polytopes, generalizing to the quas...

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2009

ISSN: 0001-8708

DOI: 10.1016/j.aim.2008.12.006